function plotxppaut4p4(varargin)
%% Plot bifurcation diagrams in Matlab that have been saved by XPPAUT
% How to use:
% In AUTO (XPPAUT) click-->File--->Write Pts
% and save your bifurcation diagram in a .dat file
% In Matlab run this program
% press “load file to start” on the pop-up window
% Select .dat file saved by AUTO
% A bifurcation diagram will be plotted.
%
% you can polish your figure on the pop-up window “setup *.bat”.
% For example, choose (EP-) Stable Equilibria, change LineWidth from 1 to 2,
% then press "return"
% or
% in the command window, write e.g.
% ylabel('$\langle v \rangle$','FontSize',14,'Interpreter','LaTeX')
%
%
% Tested with XPPAUT 8.0 and MATLAB 2017a.
% (c) Ting-Hao Hsu, 2018
%% Set Defaults
LineHeadings = {'Type','Class','LineStyle','Color','LineWidth',...
'Marker','MarkerSize','MarkerEdgeColor','MarkerFaceColor','NrPts','Legend'};
colorRed = 'r'; colorBlue = 'b'; colorBlack = 'k'; colorNone = 'none';
colorGreen = 'g'; colorYellow = [.8 .8 0]; colorOlive = [0 .7 .7]; % colorCyan = 'c';
LineDefaultCell = {
[1 0],'Stable Equilibria',...
'-',colorRed,1,'none',6,colorRed,colorNone,5,'stable EP';
[2 0],'Unstable Equilibria',...
'-',colorBlack,1,'none',6,colorBlack,colorNone,5,'unstable EP';
[3 0],'Stable Periodic Orbits',...
'none',colorGreen,1,'o',6,colorNone,colorGreen,5,'stable PO';
[4 0],'Unstable Periodic Orbits',...
'none',colorBlue,1,'o',6,colorBlue,colorNone,5,'unstable PO';
[2 5],'Branch Points',...
'-',colorOlive,1,'none',6,colorOlive,colorNone,5,'BP';
[2 3],'Hopft Bifurcation',...
'-',colorBlue,1,'none',6,colorBlue,colorNone,5,'HB';
[2 1],'Limit Points',...
'-',colorRed,1,'none',6,colorRed,colorNone,5,'LP';
[4 7],'Periodic Orbits',...
'-',colorYellow,1,'none',6,colorYellow,colorNone,5,'PO';
[2 6],'Periodic Doubling',...
'-',colorOlive,1,'none',6,colorOlive,colorNone,5,'PD';
[2 2],'Saddle-Node Limit Cycles',...
'-',colorBlack,1,'none',6,colorBlack,colorNone,5,'SNLC';
[NaN NaN],'Unknown Type',...
'-',colorBlack,1,'none',6,colorBlack,colorNone,5,'??';
};
%% Initialize
LineDefaultTable = cell2table(LineDefaultCell);
LineDefaultTable.Properties.VariableNames = LineHeadings;
LineDefault = table2struct(LineDefaultTable);
TruncTolDefault = .1; % tolerence for truncation
LenTolDefault = 2; % tolerence for minimum length
LineStyleList = {'-','--',':','-.','none'};
MarkerStyleList = {'o','+','*','.','x','square','diamond',...
'^','v','>','<','pentagram','hexagram','none'};
defaults = struct('LineDefault',LineDefault,...
'TruncTol',TruncTolDefault,'LenTol',LenTolDefault,...
'LineStyleList',{LineStyleList},'MarkerStyleList',{MarkerStyleList});
info = struct('Data',[],'Defaults',defaults,'Dir',pwd,...
'LineData',[],'LineOptions',[],'Focus',[],...
'TruncTol',[],'LenTol',[],'TruncTolOld',[],'LenTolOld',[],...
'xlabel',[],'ylabel',[],'axlim',[],'hui',[]);
% Set Figure Units
set(0,'Units','characters')
tmp = get(0,'ScreenSize');
scrheight = tmp(4);
% Set figPlot
figPlot = figure('Units','characters','Visible','off');
pos0 = get(figPlot,'Position');
pos = [76 scrheight-pos0(4)-8.5 pos0(3:4)];
set(figPlot,'Position',pos,'Visible','on');
info.nfigPlot = get(figPlot,'Number');
% Set figPrompt
pos = [5 scrheight-45 70 40];
figPrompt = figure('Units','characters');
set(figPrompt,'MenuBar','none','ToolBar','none','NumberTitle','off');
str = 'Load to Start...';
set(figPrompt,'Position',pos,'Name',str);
info.nfigPrompt = get(figPrompt,'Number');
info.Defaults.posPrompt = pos;
% Call GUI
myPrompt(info,'START');
end
%% ====Draw Data====
function DrawData(info)
% Format Data
data = info.Data;
x = data(1,:);
y = data(2,:);
y2 = data(3,:);
styleA = data(4,:);
br = data(5,:);
styleB = data(6,:);
% Remove NaN
sd = sum(data);
ind = isnan(sd);
data(:,ind) = [];
info.Data = data;
% Detect the jumps of the curves
dx = abs(diff(x));
dy = abs(diff(y));
if isempty(info.TruncTol)
info.TruncTol = info.Defaults.TruncTol;
end
TruncTol = info.TruncTol;
if isempty(info.LenTol)
info.LenTol = info.Defaults.LenTol;
end
LenTol = info.LenTol;
tmp = find(dx>TruncTol | dy>TruncTol);
indj = [tmp numel(x)];
% Save Lines
dataOld = info.LineData;
info.LineData = [];
jline = 0;
ind0 = 1;
for ind2=indj
dA = diff(styleA(ind0:ind2));
dB = diff(styleB(ind0:ind2));
dC = diff(br(ind0:ind2));
tmp = ind0 - 1 + find(dA~=0 | dB~=0 | dC~=0);
indc = [tmp ind2];
for ind1=indc
if ind1-ind0+1>=LenTol
jline = jline + 1;
xtmp = x(ind0:ind1);
ytmp = y(ind0:ind1);
y2tmp = y2(ind0:ind1);
code = [styleA(ind1) br(ind1) styleB(ind1)];
info.LineData(jline).x = xtmp;
info.LineData(jline).y = ytmp;
info.LineData(jline).y2 = y2tmp;
info.LineData(jline).Code = code;
end
ind0 = ind1;
end
ind0 = ind2 + 1;
end
% Count Lines
numline = numel(info.LineData);
if numline>100
str = sprintf('Total number of curves will be %d. Proceed anyway?',numline);
stitle = 'Large Number of Curves';
stroptions = {'Yes','No'};
sdefault = 'No';
choice = questdlg(str,stitle,stroptions{:},sdefault);
if strcmp(choice,'No')
if ~isempty(info.TruncTolOld)
info.TruncTol = info.TruncTolOld;
end
if ~isempty(info.LenTolOld)
info.LenTol = info.LenTolOld;
end
info.Data = dataOld;
myPrompt(info,'UPDATE');
return;
end
end
info.TruncTolOld = info.TruncTol;
info.LenTolOld = info.LenTol;
% Sort Lines
info.LineData = SortCodes(info.LineData);
% Set LineOptions and LineGroup
LineDefault = info.Defaults.LineDefault;
info.LineOptions = SetOption(info.LineData,LineDefault,info.LineOptions);
% Draw Lines
figPlot = figure(info.nfigPlot);
if isempty(info.axlim)
clf(figPlot);
plot(NaN,NaN);
hold on;
set(gca(figPlot),'FontSize',12);
else
cla(figPlot);
hold on;
end
for jline=1:numel(info.LineData)
lineData = info.LineData(jline);
code = info.LineData(jline).Code;
type = code([1,3]);
jop = find(arrayfun(@(c)isequal(c.Type,type),info.LineOptions),1);
option = info.LineOptions(jop);
x = lineData.x;
y = lineData.y;
y2 = lineData.y2;
hp = plot(x,y,x,y2,'k-','linewidth',1);
hp = SetMarkerIndices(x,y,y2,option,hp);
info.LineData(jline).hp = hp;
info.LineOptions(jop).jlines(end+1) = jline;
headers = {'Color','LineStyle','LineWidth',...
'Marker','MarkerSize','MarkerEdgeColor','MarkerFaceColor'}';
for jhp=1:numel(hp)
for jhd=1:numel(headers)
ch = headers{jhd};
hp(jhp).(ch) = option.(ch);
end
end
end
% Set Axes
axPlot = gca(figPlot);
xlim = get(axPlot,'XLim');
ylim = get(axPlot,'YLim');
if isempty(info.axlim)
info.axlim = [xlim ylim];
end
set(axPlot,'XLim',xlim);
set(axPlot,'YLim',ylim);
if ~isempty(info.xlabel)
xlabel(info.xlabel,'FontSize',16);
end
if ~isempty(info.ylabel)
ylabel(info.ylabel,'FontSize',16);
end
% Make Legend
MakeLegend(info.LineOptions,info.LineData);
% Call GUI
myPrompt(info,'NEW');
end
%% ====SET MARKER INDICIES====
function hp=SetMarkerIndices(x,y,y2,option,hp)
NrPts = option.NrPts;
LineStyle = option.LineStyle;
MarkerIndices = 1:NrPts:numel(x);
if ~verLessThan('matlab','9.1') % MarkerIndices is only for MATLAB is 9.1(R2016b) or Newer
for jhp=1:numel(hp)
set(hp(jhp),'MarkerIndices',MarkerIndices);
hp(jhp).MarkerIndices = MarkerIndices;
end
elseif strcmp(LineStyle,'none')
for jhp=1:numel(hp)
delete(hp(jhp));
end
xtmp = x(MarkerIndices);
ytmp = y(MarkerIndices);
y2tmp = y2(MarkerIndices);
hp = plot(xtmp,ytmp,xtmp,y2tmp,'ko','markersize',6);
end
end
%% ====SETOPTION====
function LineOptions = SetOption(LineData,LineDefault,LineOptionsOld)
tmp1 = arrayfun(@(c)num2str(c.Code([1,3])),LineData,'UniformOutput',false);
tmp2 = unique(tmp1);
types = arrayfun(@(j)str2double(strsplit(tmp2{j},' ')),...
1:numel(tmp2),'UniformOutput',false);
numtypes = numel(types);
option = struct('Type',[],'jlines',[]);
LineOptions = repmat(option,1,numtypes);
for jop=1:numtypes
type = types{jop};
jOld = find(arrayfun(@(c)isequal(c.Type,type),LineOptionsOld),1);
j0 = find(arrayfun(@(c)isequal(c.Type,type),LineDefault),1);
if ~isempty(jOld)
lnew = LineOptionsOld(jOld);
elseif ~isempty(j0)
lnew = LineDefault(j0);
else
lnew = LineDefault(end);
lnew.Type = type;
end
lnew.jlines = [];
for str = fieldnames(lnew)'
LineOptions(jop).(str{1}) = lnew.(str{1});
end
end
end
%% ====SORT CODES====
function lines = SortCodes(lines)
if ~isempty(lines)
% Sort branch
BR = arrayfun(@(c)c.Code(2),lines);
[~,permC] = sort(BR);
lines = lines(permC);
% Sort the second code
styleB = arrayfun(@(c)c.Code(3),lines);
[~,permB] = sort(styleB);
lines = lines(permB);
% Sort the first code
styleA = arrayfun(@(c)c.Code(1),lines);
[~,permA] = sort(styleA);
lines = lines(permA);
% Count the number of visible lines
numline = numel(lines);
codepre = [];
ncopy = 0;
for jline=1:numline
code = lines(jline).Code;
if isequal(code,codepre)
ncopy = ncopy+1;
else
ncopy = 1;
end
lines(jline).ncopy = ncopy;
codepre = code;
end
end
end
%% ====MAKE LEGEND====
function MakeLegend(options,lines)
numop = numel(options);
figs = NaN(1,numop);
names = cell(1,numop);
jfig = 0;
for jop=1:numel(options)
jlines = options(jop).jlines;
if ~isempty(jlines)
jfig = jfig + 1;
jline = options(jop).jlines(1);
hp = lines(jline).hp;
figs(jfig) = hp(1);
names{jfig} = options(jop).Legend;
end
end
if jfig>0
figs(jfig+1:end) = [];
names(jfig+1:end) = [];
%hlegend = legend(figs,names);
%set(hlegend,'FontSize',14,'AutoUpdate','off'); % modified by LC
end
end
%% ====MYPROMPT====
function myPrompt(info,status)
%% Preparation
MAXLINE = 23; % number of lines in each column
figPrompt = figure(info.nfigPrompt);
numOption = numel(info.LineOptions);
pos0 = get(figPrompt,'Position');
coord_top = pos0(4);
if isempty(info.Focus)
info.Focus = 1;
end
%% Initialize
if strcmp(status,'START')
clf(figPrompt);
posbox = [pos0(3)/4 pos0(4)/2 30 4];
str = 'Load File to Start...';
uicontrol('Style','pushbutton','String',str,...
'Units','characters','Position',posbox,...
'Callback',@(s,e)setChoice(info,'Load'));
%%-- Set Buttons
posbox0 = [3 1.5 8 1.2];
strs = {'Quit','Help'};
for jstr=1:numel(strs)
str = strs{jstr};
posbox = posbox0 + (jstr>1)*[9 0 0 0];
uicontrol('Style','pushbutton','String',str,...
'Units','characters','Position',posbox,...
'Callback',@(s,e)setChoice(info,str));
end
return;
end
if numel(info.LineOptions)==0
return;
end
%% Resize and Show Filename
if strcmp(status,'NEW')
clf(figPrompt);
str = sprintf('Setup %s',info.Filename);
set(figPrompt,'Name',str);
posPrompt = get(figPrompt,'Position');
posPromptDefalut = info.Defaults.posPrompt;
posPrompt(3:4) = posPromptDefalut(3:4);
set(figPrompt,'Position',posPrompt);
end
%% Set Buttons
jui = 0;
strs = {'Quit','Help','Reset','Black','Load/Append'};
opts = {'Quit','Help','Reset','Black','Load'};
if strcmp(status,'NEW')
posbox0 = [3 1.5 8 1.2];
indL = 5; % Load/Preview is the 5th botton
for jh=1:numel(strs)
jui = jui + 1;
str = strs{jh};
posbox = posbox0 + (jh-1)*[9 0 0 0] ...
+ (jh==indL)*[0 0 6 0] + (jh>indL)*[6 0 0 0];
info.hui{jui} = uicontrol('Style','pushbutton','String',str,...
'Units','characters','Position',posbox);
end
elseif strcmp(status,'UPDATE')
for jh=1:numel(opts)
jui = jui + 1;
opt = opts{jh};
set(info.hui{jui},'Callback',@(s,e)setChoice(info,opt));
end
end
%% ==Line Properties==
vspace = 0;
% Set Heading
if strcmp(status,'NEW')
vspace = vspace + 2;
strtxt = '== CURVE PROPERTIES ==';
postxt = [3 coord_top-vspace 20 1];
uicontrol('Style','text','String',strtxt,...
'HorizontalAlignment','left','Units','characters','Position',postxt);
end
% Select Line
jui = jui + 1;
focus = info.Focus;
if strcmp(status,'NEW')
vspace = vspace + 1.5;
strbox = cell(1,numOption);
for j=1:numOption
prop = info.LineOptions(j);
if strcmp(prop.Class,'Unknown Type')
strbox{j} = sprintf('(%s) %s [%d,*,%d]',prop.Legend,prop.Class,prop.Type);
else
strbox{j} = sprintf('(%s) %s',prop.Legend,prop.Class);
end
end
posbox = [2 coord_top-vspace 30 1];
info.hui{jui} = uicontrol('Style','popup','String',strbox,'Value',focus,...
'HorizontalAlignment','left','Units','characters','Position',posbox);
elseif strcmp(status,'UPDATE')
set(info.hui{jui},'Value',focus,...
'Callback',@(s,e)setChoice(info,'SelectLine',s.Value));
end
% Preparation
if isempty(info.Focus)
info.Focus = 1;
end
option = info.LineOptions(focus);
% Set LineStyle
jui = jui + 1;
list = info.Defaults.LineStyleList;
val = find(strcmp(list,option.LineStyle),1);
if strcmp(status,'NEW')
vspace = vspace + 2;
postxt = [3 coord_top-vspace 12 1];
strtxt = 'LineStyle';
uicontrol('Style','text','String',strtxt,...
'HorizontalAlignment','left','Units','characters','Position',postxt);
posbox = [20 coord_top-vspace 19 1.2] - [1 0 0 0];
info.hui{jui} = uicontrol('Style','popup','String',list,'Value',val,...
'HorizontalAlignment','left','Units','characters','Position',posbox);
elseif strcmp(status,'UPDATE')
set(info.hui{jui},'String',list,'Value',val,...
'Callback',@(s,e)setChoice(info,'LineStyle',list,s.Value));
end
% Set Color
color = option.Color;
if ~ischar(color)
strbox = sprintf('%.1f, %.1f, %.1f',color);
else
strbox = color;
end
if strcmp(status,'NEW')
vspace = vspace + 2;
postxt = [3 coord_top-vspace 16 1];
strtxt = 'Color';
uicontrol('Style','text','String',strtxt,...
'HorizontalAlignment','left','Units','characters','Position',postxt);
posbox = [20 coord_top-vspace 6 1.2];
strtxt = 'RGB';
jui = jui + 1;
info.hui{jui} = uicontrol('Style','pushbutton','String',strtxt,...
'HorizontalAlignment','left','Units','characters','Position',posbox);
posbox = [27 coord_top-vspace 9 1.2];
jui = jui + 1;
info.hui{jui} = uicontrol('Style','edit','String',strbox,...
'HorizontalAlignment','left','Units','characters','Position',posbox);
elseif strcmp(status,'UPDATE')
jui = jui + 1;
set(info.hui{jui},...
'Callback',@(s,e)setChoice(info,'Color',color,'RGB'));
jui = jui + 1;
set(info.hui{jui},'String',strbox,...
'Callback',@(s,e)setChoice(info,'Color',s.String));
end
% Set LineWidth
jui = jui + 1;
strbox = num2str(option.LineWidth);
if strcmp(status,'NEW')
vspace = vspace + 2;
postxt = [3 coord_top-vspace 16 1];
uicontrol('Style','text','String','LineWidth',...
'HorizontalAlignment','left','Units','characters','Position',postxt);
posbox = [20 coord_top-vspace 7 1.2];
info.hui{jui} = uicontrol('Style','edit','String',strbox,...
'HorizontalAlignment','left','Units','characters','Position',posbox);
elseif strcmp(status,'UPDATE')
set(info.hui{jui},'String',strbox,...
'Callback',@(s,e)setChoice(info,'LineWidth',s.String));
end
% Set Marker
jui = jui + 1;
list = info.Defaults.MarkerStyleList;
val = find(strcmp(list,option.Marker),1);
if strcmp(status,'NEW')
vspace = vspace + 2;
postxt = [3 coord_top-vspace 12 1];
uicontrol('Style','text','String','Marker',...
'HorizontalAlignment','left','Units','characters','Position',postxt);
posbox = [20 coord_top-vspace 19 1.2] - [1 0 0 0];
info.hui{jui} = uicontrol('Style','popup','String',list,'Value',val,...
'HorizontalAlignment','left','Units','characters','Position',posbox);
elseif strcmp(status,'UPDATE')
set(info.hui{jui},'Value',val,...
'Callback',@(s,e)setChoice(info,'Marker',list,s.Value));
end
% Set MarkerEdgeColor
color = option.MarkerEdgeColor;
if ~ischar(color)
strbox = sprintf('%.1f, %.1f, %.1f',color);
else
strbox = color;
end
if strcmp(status,'NEW')
vspace = vspace + 2;
postxt = [3 coord_top-vspace 17 1];
uicontrol('Style','text','String','MarkerEdgeColor',...
'HorizontalAlignment','left','Units','characters','Position',postxt);
posbox = [20 coord_top-vspace 6 1.2];
jui = jui + 1;
info.hui{jui} = uicontrol('Style','pushbutton','String','RGB',...
'HorizontalAlignment','left','Units','characters','Position',posbox);
posbox = [27 coord_top-vspace 9 1.2];
jui = jui + 1;
info.hui{jui} = uicontrol('Style','edit','String',[],...
'HorizontalAlignment','left','Units','characters','Position',posbox);
elseif strcmp(status,'UPDATE')
jui = jui + 1;
set(info.hui{jui},...
'Callback',@(s,e)setChoice(info,'MarkerEdgeColor',color,'RGB'));
jui = jui + 1;
set(info.hui{jui},'String',strbox,...
'Callback',@(s,e)setChoice(info,'MarkerEdgeColor',s.String));
end
% Set MarkerFaceColor
color = option.MarkerFaceColor;
if ~ischar(color)
strbox = sprintf('%.1f, %.1f, %.1f',color);
else
strbox = color;
end
if strcmp(status,'NEW')
vspace = vspace + 2;
postxt = [3 coord_top-vspace 17 1];
uicontrol('Style','text','String','MarkerFaceColor',...
'HorizontalAlignment','left','Units','characters','Position',postxt);
posbox = [20 coord_top-vspace 6 1.2];
jui = jui + 1;
info.hui{jui} = uicontrol('Style','pushbutton','String','RGB',...
'HorizontalAlignment','left','Units','characters','Position',posbox);
posbox = [27 coord_top-vspace 9 1.2];
jui = jui + 1;
info.hui{jui} = uicontrol('Style','edit','String',strbox,...
'HorizontalAlignment','left','Units','characters','Position',posbox);
elseif strcmp(status,'UPDATE')
jui = jui + 1;
set(info.hui{jui},...
'Callback',@(s,e)setChoice(info,'MarkerFaceColor',color,'RGB'));
jui = jui + 1;
set(info.hui{jui},'String',strbox,...
'Callback',@(s,e)setChoice(info,'MarkerFaceColor',s.String));
end
% Set MarkerSize
jui = jui + 1;
strbox = num2str(option.MarkerSize);
if strcmp(status,'NEW')
vspace = vspace + 2;
postxt = [3 coord_top-vspace 12 1];
uicontrol('Style','text','String','MarkerSize',...
'HorizontalAlignment','left','Units','characters','Position',postxt)
posbox = [20 coord_top-vspace 7 1.2];
info.hui{jui} = uicontrol('Style','edit','String',strbox,...
'HorizontalAlignment','left','Units','characters','Position',posbox);
elseif strcmp(status,'UPDATE')
set(info.hui{jui},'String',strbox,...
'Callback',@(s,e)setChoice(info,'MarkerSize',s.String));
end
% Set NrPts
jui = jui + 1;
strbox = num2str(option.NrPts);
if strcmp(status,'NEW')
vspace = vspace + 2;
postxt = [3 coord_top-vspace 12 1];
strtxt = 'MarkerSpace';
uicontrol('Style','text','String',strtxt,...
'HorizontalAlignment','left','Units','characters','Position',postxt)
posbox = [20 coord_top-vspace 7 1.2];
info.hui{jui} = uicontrol('Style','edit','String',strbox,...
'HorizontalAlignment','left','Units','characters','Position',posbox);
elseif strcmp(status,'UPDATE')
set(info.hui{jui},'String',strbox,...
'Callback',@(s,e)setChoice(info,'NrPts',s.String));
end
% Set Legend
jui = jui + 1;
strbox = option.Legend;
if strcmp(status,'NEW')
vspace = vspace + 2;
postxt = [3 coord_top-vspace 12 1];
strtxt = 'Legend';
uicontrol('Style','text','String',strtxt,...
'HorizontalAlignment','left','Units','characters','Position',postxt)
posbox = [20 coord_top-vspace 16 1.2];
info.hui{jui} = uicontrol('Style','edit','String',strbox,...
'HorizontalAlignment','left','Units','characters','Position',posbox,...
'Callback',@(s,e)setChoice(info,'Legend',s.String));
elseif strcmp(status,'UPDATE')
set(info.hui{jui},'String',strbox,...
'Callback',@(s,e)setChoice(info,'Legend',s.String));
end
%% ==General Settings==
% Set Heading
if strcmp(status,'NEW')
vspace = vspace + 2;
strtxt = '== GENERAL SETTINGS ==';
postxt = [3 coord_top-vspace 20 1];
uicontrol('Style','text','String',strtxt,...
'HorizontalAlignment','left','Units','characters','Position',postxt);
end
% Set x-label
jui = jui + 1;
strbox = info.xlabel;
if strcmp(status,'NEW')
vspace = vspace + 1.5;
postxt = [3 coord_top-vspace 12 1];
posbox = [20 coord_top-vspace 16 1.2];
strtxt = 'x-label';
uicontrol('Style','text','String',strtxt,...
'HorizontalAlignment','left','Units','characters','Position',postxt);
info.hui{jui} = uicontrol('Style','edit','String',strbox,...
'HorizontalAlignment','left','Units','characters','Position',posbox);
elseif strcmp(status,'UPDATE')
set(info.hui{jui},'String',strbox,...
'Callback',@(s,e)setChoice(info,'xlabel',s.String));
end
% Set y-label
jui = jui + 1;
strbox = info.ylabel;
if strcmp(status,'NEW')
vspace = vspace + 1.5;
postxt = [3 coord_top-vspace 12 1];
posbox = [20 coord_top-vspace 16 1.2];
strtxt = 'y-label';
uicontrol('Style','text','String',strtxt,...
'HorizontalAlignment','left','Units','characters','Position',postxt);
info.hui{jui} = uicontrol('Style','edit','String',strbox,...
'HorizontalAlignment','left','Units','characters','Position',posbox);
elseif strcmp(status,'UPDATE')
set(info.hui{jui},'String',strbox,...
'Callback',@(s,e)setChoice(info,'ylabel',s.String));
end
% Set axix-limits
hd = {'xLo','xHi','yLo','yHi'};
vspace = vspace + 1.5;
postxt = [3 coord_top-vspace 4 1];
posbox = [8 coord_top-vspace 8 1.2];
for jax=1:numel(hd)
strtxt = hd{jax};
strbox = sprintf('%.2f',info.axlim(jax));
jui = jui + 1;
if strcmp(status,'NEW')
postxt = postxt + (jax==2 || jax==4)*[17 0 0 0] + (jax==3)*[-17 -1.5 0 0];
uicontrol('Style','text','String',strtxt,...
'HorizontalAlignment','left','Units','characters','Position',postxt);
posbox = posbox + (jax==2 || jax==4)*[17 0 0 0] + (jax==3)*[-17 -1.5 0 0];
info.hui{jui} = uicontrol('Style','edit','String',strbox,...
'HorizontalAlignment','left','Units','characters','Position',posbox);
elseif strcmp(status,'UPDATE')
set(info.hui{jui},'String',strbox,...
'Callback',@(s,e)setChoice(info,'axlim',s.String,jax));
end
end
%% ==Numerics==
% Heading
if strcmp(status,'NEW')
vspace = vspace + 3.5;
strtxt = '== NUMERICS ==';
postxt = [3 coord_top-vspace 20 1];
uicontrol('Style','text','String',strtxt,...
'HorizontalAlignment','left','Units','characters','Position',postxt);
end
% Set TruncTol
jui = jui + 1;
strbox = sprintf('%.4f',info.TruncTol);
if strcmp(status,'NEW')
vspace = vspace + 1.5;
postxt = [3 coord_top-vspace 22 1];
strtxt = 'TruncTol (stray lines)';
uicontrol('Style','text','String',strtxt,...
'HorizontalAlignment','left','Units','characters','Position',postxt);
posbox = [25 coord_top-vspace 11 1.2];
info.hui{jui} = uicontrol('Style','edit','String',strbox,...
'HorizontalAlignment','left','Units','characters','Position',posbox);
elseif strcmp(status,'UPDATE')
set(info.hui{jui},'String',strbox,...
'Callback',@(s,e)setChoice(info,'TruncTol',s.String));
end
% Set TruncTol
jui = jui + 1;
strbox = sprintf('%d',info.LenTol);
if strcmp(status,'NEW')
vspace = vspace + 1.5;
postxt = [3 coord_top-vspace 26 1];
strtxt = 'LenTol (short pieces)';
uicontrol('Style','text','String',strtxt,...
'HorizontalAlignment','left','Units','characters','Position',postxt);
posbox = [29 coord_top-vspace 7 1.2];
info.hui{jui} = uicontrol('Style','edit','String',strbox,...
'HorizontalAlignment','left','Units','characters','Position',posbox);
elseif strcmp(status,'UPDATE')
set(info.hui{jui},'String',strbox,...
'Callback',@(s,e)setChoice(info,'LenTol',s.String));
end
%% ==Visibility==
vspace = 0;
% Set Heading
if strcmp(status,'NEW')
vspace = vspace + 2;
strtxt = '== CURVE VISIBILITY ==';
postxt = [45 coord_top-vspace 20 1];
uicontrol('Style','text','String',strtxt,...
'HorizontalAlignment','left','Units','characters','Position',postxt);
end
% Set Checkbox
vspace = vspace + 1.2;
posbox0 = [45 coord_top-vspace 24 1];
numlines = numel(info.LineData);
for jline=1:numlines
jui = jui + 1;
lines = info.LineData(jline);
type = lines.Code([1 3]);
jop = find(arrayfun(@(c)isequal(c.Type,type),info.LineOptions),1);
op = info.LineOptions(jop);
ncopy = lines.ncopy;
if ncopy==1
strbox = sprintf('[%d,%d,%d] (%s)',lines.Code,op.Legend);
else
strbox = sprintf('[%d,%d,%d] (%s)(%d)',lines.Code,op.Legend,ncopy-1);
end
hp = lines.hp;
val = strcmp(hp(1).Visible,'on');
if strcmp(status,'NEW')
mjline = mod(jline-1,MAXLINE);
if (mjline==0 && jline>1)
posbox0 = posbox0 + [25 0 0 0];
posPrompt = posPrompt + [0 0 25 0];
set(figPrompt,'Position',posPrompt);
end
posbox = posbox0 + mjline*[0 -1.5 0 0];
info.hui{jui} = uicontrol('Style','checkbox','Value',val,'String',strbox,...
'Units','characters','Position',posbox);
elseif strcmp(status,'UPDATE')
set(info.hui{jui},'Value',val,...
'Callback',@(s,e)setChoice(info,'Visible',jline,s.Value));
end
end
if strcmp(status,'NEW')
myPrompt(info,'UPDATE');
end
end
%% ====SETCHOICE====
function setChoice(info,opt,varargin)
figure(info.nfigPlot);
%%-- Update Properties
focus = info.Focus;
switch opt
case 'axlim'
str = varargin{1};
val = str2double(str);
jax = varargin{2};
info.axlim(jax) = val;
axis(info.axlim);
myPrompt(info,'UPDATE');
return;
case {'xlabel','ylabel'}
str = varargin{1};
feval(opt,str,'FontSize',16);
info.(opt) = str;
myPrompt(info,'UPDATE');
return;
case 'Visible'
jline = varargin{1};
val = varargin{2};
hp = info.LineData(jline).hp;
type = info.LineData(jline).Code([1,3]);
jop = find(arrayfun(@(c)isequal(c.Type,type),info.LineOptions),1);
jlines = info.LineOptions(jop).jlines;
if val
for jfig=1:numel(hp)
fig = hp(jfig);
set(fig,'Visible','on');
end
jlines = [jlines jline];
else
for jfig=1:numel(hp)
fig = hp(jfig);
set(fig,'Visible','off');
end
jlines = setdiff(jlines,jline);
end
info.LineOptions(jop).jlines = jlines;
MakeLegend(info.LineOptions,info.LineData);
myPrompt(info,'UPDATE');
return;
case 'SelectLine'
val = varargin{1};
info.Focus = val;
myPrompt(info,'UPDATE');
return;
case {'LineStyle','Marker'}
list = varargin{1};
val = varargin{2};
str = list{val};
info.LineOptions(focus).(opt) = str;
type = info.LineOptions(focus).Type;
jlines = find(arrayfun(@(c)isequal(type,c.Code([1,3])),info.LineData));
for jline=jlines
hp = info.LineData(jline).hp;
for jfig=1:numel(hp)
fig = hp(jfig);
set(fig,opt,str);
end
end
myPrompt(info,'UPDATE');
return;
case {'LineWidth','MarkerSize'}
vin = varargin{1};
val = str2double(vin);
info.LineOptions(focus).(opt) = val;
type = info.LineOptions(focus).Type;
jlines = find(arrayfun(@(c)isequal(type,c.Code([1,3])),info.LineData));
for jline=jlines
hp = info.LineData(jline).hp;
for jfig=1:numel(hp)
fig = hp(jfig);
set(fig,opt,val);
end
end
myPrompt(info,'UPDATE');
return;
case 'NrPts'
vin = varargin{1};
val = str2double(vin);
info.LineOptions(focus).(opt) = val;
option = info.LineOptions(focus);
type = info.LineOptions(focus).Type;
jlines = find(arrayfun(@(c)isequal(type,c.Code([1,3])),info.LineData));
for jline=jlines
line = info.LineData(jline);
hp = SetMarkerIndices(line.x,line.y,line.y2,option,line.hp);
info.LineData(jline).hp = hp;
end
myPrompt(info,'UPDATE');
return;
case {'Color','MarkerEdgeColor','MarkerFaceColor'}
vin = varargin{1};
if numel(varargin)>1 % RGB
color = vin;
cnew = uisetcolor(color);
elseif ~sum(isstrprop(vin,'digit'))
cnew = vin;
else
for ch={',','[',']'}
vin = strrep(vin,ch{1},' ');
end
strs = strsplit(vin,' ');
ind = ~cellfun('isempty',strs);
strs = strs(ind);
cnew = str2double(strs);
end
info.LineOptions(focus).(opt) = cnew;
type = info.LineOptions(focus).Type;
jlines = find(arrayfun(@(c)isequal(type,c.Code([1,3])),info.LineData));
for jline=jlines
hp = info.LineData(jline).hp;
for jfig=1:numel(hp)
fig = hp(jfig);
set(fig,opt,cnew);
end
end
myPrompt(info,'UPDATE');
return;
case 'Legend'
str = varargin{1};
info.LineOptions(focus).(opt) = str;
MakeLegend(info.LineOptions,info.LineData);
myPrompt(info,'UPDATE');
return;
case {'TruncTol','LenTol'}
% Save old value
valOld = info.(opt);
optOld = [opt,'Old'];
info.(optOld) = valOld;
% Check input format
str = varargin{1};
tflag = 0;
if strcmp(opt,'TruncTol')
val = str2double(str);
if ~(val>0)
strtxt = sprintf('%s must be a positive number.',opt);
tflag = 1;
end
elseif strcmp(opt,'LenTol')
str = strrep(str,' ','');
val = round(str2double(str));
if ~prod(isstrprop(str,'digit')) || ~(val>0)
strtxt = sprintf('%s must be a positive integer.',opt);
strtitle = '';
msgbox(strtxt,strtitle,'modal');
myPrompt(info,'UPDATE'); % ignore the change
return;
end
end
if tflag~=0
strtitle = '';
msgbox(strtxt,strtitle,'modal');
myPrompt(info,'UPDATE'); % ignore the change
return;
end
% Update value
info.(opt) = val;
DrawData(info);
return;
case 'Quit'
msgstr = 'Quit the program?';
choice = questdlg(msgstr,'','Yes','No','Yes');
if strcmp(choice,'No')
return;
end
close([info.nfigPrompt info.nfigPlot]);
return;
case 'Load'
str = '.dat file saved by AUTO (XPPAUT)';
[filename,path] = uigetfile(fullfile(info.Dir,'*.dat'),str);
if isequal(filename,0)
return;
end
info.Dir = path;
fp = fopen(fullfile(path,filename),'r');
data = fscanf(fp,'%f',[6,inf]);
fclose(fp);
if ~isempty(info.Data)
fkeeps = {'Data','Defaults','nfigPlot','nfigPrompt','Dir'};
stitle = 'Loading';
str = 'Erase or append to the current diagram?';
stropt = {'Erase','Append','Cancel'};
sdefault = 'Erase';
choice = questdlg(str,stitle,stropt{:},sdefault);
if strcmp(choice,'Append')
fkeeps = [fkeeps,{'xlabel','ylabel','LineOptions'}];
data = [info.Data data];
elseif strcmp(choice,'Cancel')
myPrompt(info,'UPDATE');
return;
end
fnames = fieldnames(info)';
fdel = setdiff(fnames,fkeeps);
for ch=fdel
info.(ch{1}) = [];
end
end
info.Data = data;
info.Filename = filename;
DrawData(info);
return;
case 'Help'
doc();
return;
case 'Reset'
fnames = fieldnames(info)';
fkeeps = {'Data','Defaults','nfigPlot','nfigPrompt','Filename','Dir'};
fdel = setdiff(fnames,fkeeps);
for ch=fdel
info.(ch{1}) = [];
end
DrawData(info);
return;
case 'Black'
colorBlack = 'k';
colorNone = 'none';
for hd={'Color','MarkerFaceColor','MarkerEdgeColor'}
field = hd{1};
for jop=1:numel(info.LineOptions)
color = info.LineOptions(jop).(field);
if ~isequal(color,colorNone)
info.LineOptions(jop).(field) = colorBlack;
end
end
for jline=1:numel(info.LineData)
hp = info.LineData(jline).hp;
for jfig=1:numel(hp)
fig = hp(jfig);
color = fig.(field);
if ~isequal(color,colorNone)
fig.(field) = colorBlack;
end
end
end
end
% Dashed Lines for Unstable Equilibria
type0 = [2,0];
for jop=find(arrayfun(@(c)isequal(c.Type,type0),info.LineOptions))
info.LineOptions(jop).LineStyle = '--';
end
for jline=find(arrayfun(@(c)isequal(c.Code([1,3]),type0),info.LineData))
hp = info.LineData(jline).hp;
for jfig=1:numel(hp)
fig = hp(jfig);
set(fig,'LineStyle', '--');
end
end
myPrompt(info,'UPDATE');
return;
end
end
%% ====DOC====
function doc()
str_title = 'Instruction';
str_doc = {
'==HOW TO USE==';
'In AUTO (XPPAUT) click File-->Write Pts';
'and save your bifurcation diagram in a .dat file.';
'In Matlab run this program';
'and select a .dat file saved by AUTO.';
'A bifurcation diagram will be plotted.';
'';
'==CURVE PROPERTIES==';
'Select from the pop-up menus to choose a curve.';
'Click RGB to choose a color.';
'MarkerSpace:';
' Number of data points between every two markers.';
'';
'==GENERAL SETTINGS==';
'Location of legend can be moved by dragging or';
'by right-click using a mouse.';
'';
'==NUMERICS==';
'TruncTol (Minimum distance of two consecuitive points):';
' Increase to avoid undesired gaps or missing curves.';
' Decrease to remove undesired stray lines.';
'LenTol (Minimum number of data points in a curve):';
' Increase to remove curves that are too short.';
' Decrease to avoid missing curves.';
'';
'==CURVE VISIBILITY==';
'Curves are listed by their codes.';
'Check boxes:';
' Un-check to hide the curve.';
' Re-check to show the curve.';
''
};
msgbox(str_doc,str_title);
end